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Noise sustained patterns [[electronic resource] ] : fluctuations and nonlinearities / / Markus Loecher
| Noise sustained patterns [[electronic resource] ] : fluctuations and nonlinearities / / Markus Loecher |
| Autore | Loecher Markus |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, 2003 |
| Descrizione fisica | 1 online resource (252 p.) |
| Disciplina | 530.1 |
| Collana | World Scientific lecture notes in physics |
| Soggetto topico |
Stochastic processes
Random noise theory Stability |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93594-8
9786611935948 981-279-559-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Acknowledgements; Contents; Chapter 1 Introduction; 1.1 Stability theory revisited; 1.1.1 Noise and metastability; 1.1.2 Linear stability analysis; 1.2 Instabilities and nonlinear events in everyday life; 1.2.1 Arms race; 1.2.2 Distribution of wealth; 1.2.3 Front nucleation and propagation; 1.2.4 Supply chain dynamics; 1.2.5 A hodgepodge of mechanical instabilities; 1.3 Postscript; Chapter 2 Essentials; 2.1 Probabilistic and information theoretic measures; 2.2 Matrix manipulations; 2.2.1 Circulant matrices; 2.2.2 Singular value decomposition; 2.3 Delay-differential equations
2.4 The fluctuation-dissipation theorem2.5 The Fokker-Planck equation; 2.6 Numerical techniques for the simulation of stochastic equations; 2.7 Experimental aspects of generating noise; 2.8 Complex integration; Chapter 3 Noise Induced Temporal Phenomena; 3.1 Escape from metastable states; 3.2 Stochastic resonance in bistable systems; 3.2.1 Double-well potential; 3.2.2 Two state theory; 3.2.3 The diode resonator; 3.2.4 The logistic map; 3.3 Postscript; Chapter 4 Adding Spatial Dimensions; 4.1 Spatiotemporal stochastic resonance; 4.1.1 Array enhancement; 4.1.2 Global vs. local dynamics 4.1.3 Kink nucleation in a O4 model4.1.4 Kink nucleation in the experiment; 4.1.5 Decay rates and kink speeds; 4.1.6 Coupled maps; 4.2 Doubly stochastic resonance; 4.3 Spatial patterns; 4.3.1 Parametric surface waves; 4.4 Postscript; Chapter 5 Stochastic Transport Phenomena; 5.1 Noise-sustained structures in convectively unstable media; 5.1.1 The Ginzburg-Landau equation; 5.1.2 Unidirectionally coupled diode resonators; 5.1.3 Coupled maps; 5.2 Noise sustained front transmission; 5.2.1 Propagation failure in cardiac tissue; 5.2.2 Information theoretic measures revisited: ROC curves; 5.3 Theory 5.3.1 The continuum limit5.3.2 Kink Brownian motion; 5.3.3 The Peierls-Nabarro potential; 5.4 Noise enhanced wave propagation; 5.4.1 Monostable noise enhanced propagation; 5.5 Stochastic ratchets and Brownian motors; 5.6 Postscript; Chapter 6 Sundry Topics; 6.1 Minority game; 6.1.1 The thermal minority game; 6.2 Traffic dynamics; 6.2.1 Time-continuous model; 6.2.2 Discrete time dynamics; 6.3 Dithering; 6.4 Noise in neural networks; Chapter 7 Afterthoughts; Appendix A Normal Matrices; Appendix B Integrating Colored-Noise Coupled SDEs; B.l Exploiting symmetries of coupled differential equations B.2 Coupled Duffing oscillatorsAppendix C Numerical Implementation of the FPT; Appendix D Absolute and Convective Instabilities; Bibliography; Index |
| Record Nr. | UNINA-9910454339403321 |
Loecher Markus
|
||
| River Edge, N.J., : World Scientific, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Noise sustained patterns [[electronic resource] ] : fluctuations and nonlinearities / / Markus Loecher
| Noise sustained patterns [[electronic resource] ] : fluctuations and nonlinearities / / Markus Loecher |
| Autore | Loecher Markus |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, 2003 |
| Descrizione fisica | 1 online resource (252 p.) |
| Disciplina | 530.1 |
| Collana | World Scientific lecture notes in physics |
| Soggetto topico |
Stochastic processes
Random noise theory Stability |
| ISBN |
1-281-93594-8
9786611935948 981-279-559-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Acknowledgements; Contents; Chapter 1 Introduction; 1.1 Stability theory revisited; 1.1.1 Noise and metastability; 1.1.2 Linear stability analysis; 1.2 Instabilities and nonlinear events in everyday life; 1.2.1 Arms race; 1.2.2 Distribution of wealth; 1.2.3 Front nucleation and propagation; 1.2.4 Supply chain dynamics; 1.2.5 A hodgepodge of mechanical instabilities; 1.3 Postscript; Chapter 2 Essentials; 2.1 Probabilistic and information theoretic measures; 2.2 Matrix manipulations; 2.2.1 Circulant matrices; 2.2.2 Singular value decomposition; 2.3 Delay-differential equations
2.4 The fluctuation-dissipation theorem2.5 The Fokker-Planck equation; 2.6 Numerical techniques for the simulation of stochastic equations; 2.7 Experimental aspects of generating noise; 2.8 Complex integration; Chapter 3 Noise Induced Temporal Phenomena; 3.1 Escape from metastable states; 3.2 Stochastic resonance in bistable systems; 3.2.1 Double-well potential; 3.2.2 Two state theory; 3.2.3 The diode resonator; 3.2.4 The logistic map; 3.3 Postscript; Chapter 4 Adding Spatial Dimensions; 4.1 Spatiotemporal stochastic resonance; 4.1.1 Array enhancement; 4.1.2 Global vs. local dynamics 4.1.3 Kink nucleation in a O4 model4.1.4 Kink nucleation in the experiment; 4.1.5 Decay rates and kink speeds; 4.1.6 Coupled maps; 4.2 Doubly stochastic resonance; 4.3 Spatial patterns; 4.3.1 Parametric surface waves; 4.4 Postscript; Chapter 5 Stochastic Transport Phenomena; 5.1 Noise-sustained structures in convectively unstable media; 5.1.1 The Ginzburg-Landau equation; 5.1.2 Unidirectionally coupled diode resonators; 5.1.3 Coupled maps; 5.2 Noise sustained front transmission; 5.2.1 Propagation failure in cardiac tissue; 5.2.2 Information theoretic measures revisited: ROC curves; 5.3 Theory 5.3.1 The continuum limit5.3.2 Kink Brownian motion; 5.3.3 The Peierls-Nabarro potential; 5.4 Noise enhanced wave propagation; 5.4.1 Monostable noise enhanced propagation; 5.5 Stochastic ratchets and Brownian motors; 5.6 Postscript; Chapter 6 Sundry Topics; 6.1 Minority game; 6.1.1 The thermal minority game; 6.2 Traffic dynamics; 6.2.1 Time-continuous model; 6.2.2 Discrete time dynamics; 6.3 Dithering; 6.4 Noise in neural networks; Chapter 7 Afterthoughts; Appendix A Normal Matrices; Appendix B Integrating Colored-Noise Coupled SDEs; B.l Exploiting symmetries of coupled differential equations B.2 Coupled Duffing oscillatorsAppendix C Numerical Implementation of the FPT; Appendix D Absolute and Convective Instabilities; Bibliography; Index |
| Record Nr. | UNINA-9910782285803321 |
|
Loecher Markus
|
||
| River Edge, N.J., : World Scientific, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Noise sustained patt...